Question

Solve the following system of equations:

1. y - 3x = -3
2. -2x - 4y = 26
Determine the values of x and y that satisfy both equations. Give the complete question format.

Answer 1

To solve the system of equations y - 3x = -3 and -2x - 4y = 26, we can use substitution or elimination method. By substituting the value of y from the first equation into the second equation, we find that x = -1 and y = -3.

Step-by-step explanation:

To solve the system of equations:

1. y - 3x = -3

2. -2x - 4y = 26

We will use substitution or elimination method to find the values of x and y that satisfy both equations.

We can start by solving the first equation for y:

y = 3x - 3

Then we substitute this value of y in the second equation:

-2x - 4(3x - 3) = 26

Now, we simplify and solve for x:

-2x - 12x + 12 = 26

-14x + 12 = 26

-14x = 14

x = -1

Substitute this value of x back into the first equation to find y:

y = 3(-1) - 3

y = -3

Therefore, the solution to the system of equations is x = -1, y = -3.